AN EXACT ENUMERATION STUDY ON ADSORPTION TRANSITION OF A TETHERED CHAIN AT AN ADSORBING SURFACE

Wen-qin Lu; Meng-bo Luo

doi:10.1007/s10118-010-8250-7

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AN EXACT ENUMERATION STUDY ON ADSORPTION TRANSITION OF A TETHERED CHAIN AT AN ADSORBING SURFACE

Papers | Updated：2021-06-21

- AN EXACT ENUMERATION STUDY ON ADSORPTION TRANSITION OF A TETHERED CHAIN AT AN ADSORBING SURFACE
- Vol. 28, Issue 2, Pages: 209-217(2010)
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- Author bio：
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- DOI：10.1007/s10118-010-8250-7
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- Published：20 March 2010
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Wen-qin Lu, Meng-bo Luo. AN EXACT ENUMERATION STUDY ON ADSORPTION TRANSITION OF A TETHERED CHAIN AT AN ADSORBING SURFACE[J]. 2010, 28(2): 209-217.
DOI：

Wen-qin Lu, Meng-bo Luo. AN EXACT ENUMERATION STUDY ON ADSORPTION TRANSITION OF A TETHERED CHAIN AT AN ADSORBING SURFACE[J]. 2010, 28(2): 209-217. DOI： 10.1007/s10118-010-8250-7.

摘要

The number of configurations

c(n

of a single chain with length n attached to a flat surface with m monomers contacting the surface is exactly enumerated. A function of c(n

m) about m and n is obtained. From the function

a scaling law for mean energy of chain is derived

and we estimate the critical point εc = 0.276 and the crossover exponent f = 0.5. The free energy difference between tethered chain and free chain in dilute solution is also studied

which shows the critical adsorption point is about 0.272 for infinite long chain with f = 0.5.

Abstract

The number of configurations

c(n

of a single chain with length n attached to a flat surface with m monomers contacting the surface is exactly enumerated. A function of c(n

m) about m and n is obtained. From the function

a scaling law for mean energy of chain is derived

and we estimate the critical point εc = 0.276 and the crossover exponent f = 0.5. The free energy difference between tethered chain and free chain in dilute solution is also studied

which shows the critical adsorption point is about 0.272 for infinite long chain with f = 0.5.

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